Question

Simplify the fraction 4t^2-16 divided by 8 over t-2 divided by 6

Answer 1

For this case we must simplify the following expression:

`\frac {\frac {4t ^ 2-16} {8}} {\frac {t-2} {6}} =`

Applying double C we have:

`\frac {6 (4t ^ 2-16)} {8 (t-2)} =`

Simplifying:

`\frac {3 (4t ^ 2-16)} {4 (t-2)} =`

We take common factor 4 from the parentheses of the numerator:

`\frac {3 * 4 (t ^ 2-4)} {4 (t-2)} =`

We simplify:

`\frac {3 (t ^ 2-4)} {(t-2)} =`

We factor the numerator:

`t ^ 2-4 = (t + 2) (t-2)`

We rewrite the expression:

`\frac {3 (t + 2) (t-2)} {(t-2)} =`

We simplify:

`3 (t + 2) =\\3t + 6`

Answer:

`3t + 6`